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Finding the Fourth Proportional to 35,492.32, 53,233.68 and 9,197.28

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Solution

The fourth proportional to 35,492.32, 53,233.68 and 9,197.28 is: 13,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,492.32 : 53,233.68 = 9,197.28 : x
  2. Step 2: Convert to fraction form
    35,492.32/53,233.68 = 9,197.28/x
  3. Step 3: Cross multiply
    35,492.32x = 53,233.68 × 9,197.28
  4. Step 4: Simplify right side
    35,492.32x = 489,605,060.39
  5. Step 5: Solve for x
    x = 489,605,060.39/35,492.32
  6. Step 6: Final answer
    x = 13,794.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.